Pith Number

pith:ZBCC5VQU

pith:2013:ZBCC5VQU3JYF7LDE2KYH2I5HPI

not attested not anchored not stored refs pending

Isotropic realizability of electric fields around critical points

Marc Briane (IRMAR)

arxiv:1306.0236 v1 · 2013-06-02 · math.AP · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBCC5VQU3JYF7LDE2KYH2I5HPI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:21:55.729745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8442ed614da705fac64d2b07d23a77a25990508a5fd391e861a471a4bb1b8dd

Aliases

arxiv: 1306.0236 · arxiv_version: 1306.0236v1 · doi: 10.48550/arxiv.1306.0236 · pith_short_12: ZBCC5VQU3JYF · pith_short_16: ZBCC5VQU3JYF7LDE · pith_short_8: ZBCC5VQU

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZBCC5VQU3JYF7LDE2KYH2I5HPI \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c8442ed614da705fac64d2b07d23a77a25990508a5fd391e861a471a4bb1b8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "401780ec25a0ec71ec933e3f3ccfe24cdcd3c86261a98a344ac3a0d010d0e2d0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-02T18:25:26Z",
    "title_canon_sha256": "af08b4256877e266f1e897bf8563662c760496c126ec965e2a51b5305c4cecb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0236",
    "kind": "arxiv",
    "version": 1
  }
}